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Finding the Fourth Proportional to 695.02, 1,042.17 and 499.90

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Solution

The fourth proportional to 695.02, 1,042.17 and 499.90 is: 749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.02 : 1,042.17 = 499.90 : x
  2. Step 2: Convert to fraction form
    695.02/1,042.17 = 499.90/x
  3. Step 3: Cross multiply
    695.02x = 1,042.17 × 499.90
  4. Step 4: Simplify right side
    695.02x = 520,980.78
  5. Step 5: Solve for x
    x = 520,980.78/695.02
  6. Step 6: Final answer
    x = 749.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.